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Finding the Fourth Proportional to 7,000.49, 10,501.76 and 2,558.38

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Solution

The fourth proportional to 7,000.49, 10,501.76 and 2,558.38 is: 3,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.49 : 10,501.76 = 2,558.38 : x
  2. Step 2: Convert to fraction form
    7,000.49/10,501.76 = 2,558.38/x
  3. Step 3: Cross multiply
    7,000.49x = 10,501.76 × 2,558.38
  4. Step 4: Simplify right side
    7,000.49x = 26,867,472.89
  5. Step 5: Solve for x
    x = 26,867,472.89/7,000.49
  6. Step 6: Final answer
    x = 3,837.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.